İçerik

Description

Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions!

Örnek Öğrenim Hedefleri

Define a function as a rule relating each input to exactly one output and predictably acting on inputs

Predict outputs of a function using given inputs

Compose functions to create a new function

Interpret, compare, and translate between multiple representations of an algebraic function

Standards Alignment

Common Core - Math

8.F.A.1

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1

8.F.A.2

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

HSF-BF.A.1

Write a function that describes a relationship between two quantities.*

HSF-BF.A.1a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF-BF.A.1b

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

HSF-BF.A.1c

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.